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Truncated Octahedral Cellular Automaton with 14/26/50/58 Neighbors #mathart #houdini
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5×5 lattice. One node perturbed. The discrete heat equation unfolds in real time: ∂u/∂t = αΔu, solved via finite differences. A single thermal impulse diffuses outward, colors bleeding through the grid like living eigenvectors.
0:41
5×5 lattice. One node perturbed. The discrete heat equation unfolds in real time: ∂u/∂t = αΔu, solved via finite differences. A single thermal impulse diffuses outward, colors bleeding through the grid like living eigenvectors.
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What you’re seeing is a Riemannian Manifold—the mathematical "skeleton" of our universe. While most see a grid, physicists see the secret language of gravity and curved space-time. The transformation you see at 0:32 is a total "glitch" in the logic of a flat world, but it’s exactly how the fabric of existence behaves when it meets mass. In our daily lives, we assume a straight line is the shortest distance between two points, but in a Riemannian world, "straight" is an illusion. This visual capt
1:00
What you’re seeing is a Riemannian Manifold—the mathematical "skeleton" of our universe. While most see a grid, physicists see the secret language of gravity and curved space-time. The transformation you see at 0:32 is a total "glitch" in the logic of a flat world, but it’s exactly how the fabric of existence behaves when it meets mass. In our daily lives, we assume a straight line is the shortest distance between two points, but in a Riemannian world, "straight" is an illusion. This visual capt
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x.comMathematica
This anamorphic cube on lined paper uses exact projective geometry: a deliberate perspective transformation distorts the 2D grid into an apparent 3D isometric form, with shadows cast via parallel projection.
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This anamorphic cube on lined paper uses exact projective geometry: a deliberate perspective transformation distorts the 2D grid into an apparent 3D isometric form, with shadows cast via parallel projection.
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